Question 1

A car moves along a straight road. Its position as a function of time is given by a straight line with a positive slope on a position vs. time graph. What does this indicate about the car's motion?

Accepted Answer

The car is moving at a constant speed to the right.

Question 2

Which equation correctly relates the velocity of an object to the slope of its position vs. time graph?

Accepted Answer

$$v_x = \frac{\Delta x}{\Delta t}$$

Question 3

A cyclist starts from rest and accelerates uniformly for 6 seconds. The velocity-time graph forms a triangle with a base of 6 s and a height of 6 m/s. What is the cyclist's displacement during this time?

Accepted Answer

$$18\ \mathrm{m}$$

Question 4

A rock is dropped from rest from a height of $$100\ \mathrm{m}. $$Neglecting air resistance, what is its velocity just before hitting the ground? (Use $$g = 9.80\ \mathrm{m/s^2$})$$

Accepted Answer

$$-44\ \mathrm{m/s}$$

Question 5

Which of the following statements about free fall is correct?

Accepted Answer

All objects experience the same acceleration due to gravity, regardless of mass.

Question 6

A projectile is launched horizontally from a cliff. Which statement best describes its motion?

Accepted Answer

Its horizontal and vertical motions are independent of each other.

Question 7

A car moves to the left and slows down. What is the sign of its acceleration?

Accepted Answer

Positive

Question 8

Given the kinematic equation $$x_f = x_i + v_{x,i} \Delta t + \frac{1}{2} a_x (\Delta t)^2$, which term represents the displacement due to acceleration?

Accepted Answer

$$\frac{1}{2} a_x (\Delta t)^2$

Question 9

A runner accelerates at $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}$$ from an initial velocity of $$3\ \mathrm{m/s}. $$What is the runner's final velocity?

Accepted Answer

$$10\ \mathrm{m/s}$$

Question 10

A projectile is launched at an angle $$	heta$$ above the horizontal with initial speed $$v_0. $$What is the initial vertical component of its velocity?

Accepted Answer

$$v_0$$ \sin 	heta$$

Question 11

A car's position graph consists of three straight segments with different slopes. What does each segment represent?

Accepted Answer

Uniform motion at a constant velocity

Question 12

If the velocity-time graph of an object is a horizontal line above the time axis, what does this indicate about the object's motion?

Accepted Answer

The object is moving at a constant velocity.

Question 13

A lemur leaps horizontally from a branch 5.0 m away and 2.5 m below its target. Ignoring air resistance, what is the minimum speed needed to reach the target? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$7.0\ \mathrm{m/s}$$

Question 14

Which of the following is the correct kinematic equation for velocity under constant acceleration?

Accepted Answer

$$v_f = v_i + a \Delta t$$

Question 15

A position vs. time graph has a steeper slope between $$t=2 s $$and $$t=4 s $$than between $$t=0 s $$and $$t=2 s. $$What does this indicate?

Accepted Answer

The object is moving faster during $$t=2 s to$$ $$t=4 s.$$

Question 16

The area under a velocity vs. time graph represents:

Accepted Answer

Displacement

Question 17

A rocket is launched straight up with a constant acceleration of $$18\ \mathrm{m/s^2$}$$ for $$150\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$2700\ \mathrm{m/s}$$

Question 18

Which of the following is true about the acceleration of a projectile in flight (ignoring air resistance)?

Accepted Answer

It is $$-g$$ vertically and zero horizontally.

Question 19

A position graph shows a curve that is concave up. What does this indicate about the object's acceleration?

Accepted Answer

The object has positive acceleration.

Question 20

A velocity graph shows a straight line with a negative slope. What does this indicate about the object's acceleration?

Accepted Answer

The object has negative acceleration.

Motion Along a Line: Kinematics and Uniform Motion

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